World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
64
Citations
15482
World Ranking
419
National Ranking
22

Volker Mehrmann publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Volker Mehrmann sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 407 publications — 94th percentile

94% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Volker Mehrmann D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Volker Mehrmann sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 64 D-Index — 89th percentile

89% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2019 - Member of the European Academy of Sciences
  • 2017 - Member of Academia Europaea
  • 2011 - SIAM Fellow For contributions to numerical linear algebra, matrix theory, differential-algebraic equations, mathematical software, and the transfer of knowledge to and from industry.

Overview

Volker Mehrmann is affiliated with the Technical University of Berlin in Germany. Their research spans the intersection of engineering and mathematics, with a focused output in control and systems engineering and numerical analysis as key subfields.

Their research topics cover a range of areas related to differential equations and dynamical systems. These include numerical methods for differential equations, control and stability of dynamical systems, matrix theory and algorithms, model reduction and neural networks, stability and controllability of differential equations, advanced numerical methods in computational mathematics, and modeling and simulation systems.

Mehrmann has authored multiple papers on differential-algebraic and port-Hamiltonian systems, reflecting an emphasis on both theoretical and applied aspects in control theory. Noteworthy recent papers include:

  • Control of port-Hamiltonian differential-algebraic systems and applications (2023), published in Acta Numerica
  • Differential-algebraic systems with dissipative Hamiltonian structure (2023), published in Mathematics of Control Signals and Systems
  • Linear port-Hamiltonian DAE systems revisited (2023), published in Systems & Control Letters
  • Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations (2021), published in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
  • On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs (2022), published in SIAM Journal on Scientific Computing

Their frequent coauthors include Jörg Liesen, Franz Achleitner, Anton Arnold, Christian Mehl, and Delin Chu.

In terms of publishing venues, Mehrmann has contributed extensively to arXiv (Cornell University), European Mathematical Society Magazine, SIAM Journal on Matrix Analysis and Applications, ETNA - Electronic Transactions on Numerical Analysis, and Mathematics of Control Signals and Systems.

Mehrmann's authored books appear in notable series and publishers, such as EMS Textbooks in Mathematics, Springer undergraduate mathematics series, Springer Studium Mathematik - Bachelor, and Springer Nature. Titles authored include "Differential-Algebraic Equations" (2024), "Linear Algebra" (2025), "Lineare Algebra" (2024), and "Recent Stability Issues for Linear Dynamical Systems" (2024).

Their professional recognition includes being a member of the European Academy of Sciences since 2019, a member of Academia Europaea since 2017, and being named a SIAM Fellow in 2011 for contributions to numerical linear algebra, matrix theory, differential-algebraic equations, mathematical software, and knowledge transfer between academia and industry.

Best Publications

  • Differential-Algebraic Equations: Analysis and Numerical Solution

    Peter Kunkel;Volker Mehrmann

  • The Autonomous Linear Quadratic Control Problem: Theory and Numerical Solution

    Volker L. Mehrmann

  • Dimension Reduction of Large-Scale Systems

    Peter Benner;Peter Benner;Volker Mehrmann;Sorensen Danny C.

  • The Autonomous Linear Quadratic Control Problem

    Volker Ludwig Mehrmann

  • Vector Spaces of Linearizations for Matrix Polynomials

    D. Steven Mackey;Niloufer Mackey;Christian Mehl;Volker Mehrmann

  • Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods

    Volker Mehrmann;Heinrich Voss

  • Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

    D. Steven Mackey;Niloufer Mackey;Christian Mehl;Volker Mehrmann

  • NLEVP: A Collection of Nonlinear Eigenvalue Problems

    Timo Betcke;Nicholas J. Higham;Volker Mehrmann;Christian Schröder

  • SLICOT—A Subroutine Library in Systems and Control Theory

    Peter Benner;Peter Benner;Volker Mehrmann;Vasile Sima;Sabine Van Huffel

  • Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form

    Volker Mehrmann;Tatjana Stykel

  • Numerical methods for simultaneous diagonalization

    Angelika Bunse-Gerstner;Ralph Byers;Volker Mehrmann

  • Numerical computation of an analytic singular value decomposition of a matrix valued function

    Angelika Bunse-Gerstner;Ralph Byers;Volker Mehrmann;Nancy K. Nichols

  • Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils

    Volker Mehrmann;David Watkins

  • A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils

    Peter Benner;Peter Benner;Volker Mehrmann;Hongguo Xu

  • A symplectic QR like algorithm for the solution of the real algebraic Riccati equation

    A. Bunse-Gerstner;V. Mehrmann

  • Canonical forms for linear differential-algebraic equations with variable coefficients

    Peter Kunkel;Volker Mehrmann

  • Regularization of descriptor systems by derivative and proportional state feedback

    Angelika Bunse-Gerstner;Volker Mehrmann;Nancy K. Nichols

  • The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

    Julius Reiss;Philipp Schulze;Jörn Sesterhenn;Volker Mehrmann

  • Canonical forms for Hamiltonian and symplectic matrices and pencils

    Wen-Wei Lin;Volker Mehrmann;Hongguo Xu

  • Perturbation Theory for Matrix Equations

    M. Konstantinov;D. Gu;V. Mehrmann;P. Petkov

Frequent Co-Authors

Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Ralph Byers
Ralph Byers University of Kansas
Nancy Nichols
Nancy Nichols University of Reading
Hans Schneider
Hans Schneider University of Wisconsin–Madison
Maria J. Esteban
Maria J. Esteban Paris Dauphine University
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Richard A. Brualdi
Richard A. Brualdi University of Wisconsin–Madison
Nicholas J. Higham
Nicholas J. Higham University of Manchester
Serkan Gugercin
Serkan Gugercin Virginia Tech
Yurii Nesterov
Yurii Nesterov Université Catholique de Louvain

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